👉 A subvariety of a variety is an algebraic subset that is defined by polynomial equations and whose coefficients are in a fixed ring. This ring can be the field or its completion, depending on the context. For example, consider the variety V = {(x + y)/(x^2 - xy + y^2)} in R[x,y] with the equation x^3 + 5y^2 = 0. The set of all polynomials that are subvarieties of this
